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SUMMARY:Steve Trettel (University of San Francisco)
DTSTART:20261105T180000Z
DTEND:20261105T190000Z
DTSTAMP:20261109T050829Z
UID:artmath2021/39
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/artmath2021/
 39/">The Mathematics of Beautiful Graphics</a>\nby Steve Trettel (Universi
 ty of San Francisco) as part of Art and Math Seminar\n\n\nAbstract\nPhotor
 ealistic computer-generated images are everywhere—from blockbuster films
  to video games to architectural visualization. Modern software tends to h
 ide the mathematics behind them\, but it's beautiful stuff: differential g
 eometry\, measure theory\, and statistics all play essential roles. In thi
 s talk\, we'll see how simple questions about light and color naturally le
 ad to an infinite-dimensional problem with a curious recursive structure
 —to compute anything\, you seemingly need to have already computed every
 thing. The way out is to recast the problem as integration over a space of
  light paths. Different visual phenomena—mirrors\, glass\, fog - corresp
 ond to different measures on this space.\n\nUnderstanding this structure p
 uts realistic rendering within reach of anyone willing to do the analysis.
  It also offers mathematicians a source of compelling high-dimensional pro
 blems and a new way of seeing the world—from the translucence of a jade 
 sculpture to the glow of a sunset\, the geometry of path space is all arou
 nd us.\n
LOCATION:https://researchseminars.org/talk/artmath2021/39/
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